99656000 has 56 divisors (see below), whose sum is σ = 246817896. Its totient is φ = 39859200.

The previous prime is 99655961. The next prime is 99656003. The reversal of 99656000 is 65699.

It can be written as a sum of positive squares in 4 ways, for example, as 135424 + 99520576 = 368^2 + 9976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99656003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1772 + ... + 14228.

Almost surely, 2^99656000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123408948).

99656000 is an abundant number, since it is smaller than the sum of its proper divisors (147161896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99656000 is a wasteful number, since it uses less digits than its factorization.

99656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12484 (or 12464 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 35.

The square root of 99656000 is about 9982.7851825029. The cubic root of 99656000 is about 463.6260363759.

The spelling of 99656000 in words is "ninety-nine million, six hundred fifty-six thousand".